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Finding the Third Proportional to 1,975.50 and 2,890.19

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Solution

The third proportional to 1,975.50 and 2,890.19 is: 4,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.50 : 2,890.19 = 2,890.19 : x
  2. Step 2: Convert to fraction form
    1,975.50/2,890.19 = 2,890.19/x
  3. Step 3: Cross multiply
    1,975.50x = 2,890.19 × 2,890.19
  4. Step 4: Simplify right side
    1,975.50x = 8,353,183.79
  5. Step 5: Solve for x
    x = 8,353,183.79/1,975.50
  6. Step 6: Final answer
    x = 4,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.